ncert class 6 maths assignment

NCERT Solutions For Class 6 Maths

NCERT Solutions for Class 6 Maths are the best study materials that help you to score excellent marks in the exams. Here at Study Path, we have prepared the NCERT solutions for Class 6th maths by our subject expert teachers. Our solutions covered all the questions of the NCERT Maths textbook and solved step-wise so that students can understand it better. Download these solutions in free PDF format and practice them regularly to boost your marks in the exams.

CBSE Class 6 Maths Solutions – List of Chapters

Chapter 1 Knowing Our Numbers
Chapter 2 Whole Numbers
Chapter 3 Playing With Numbers
Chapter 4 Basic Geometrical Ideas
Chapter 5 Understanding Elementary Shapes
Chapter 6 Integers
Chapter 7 Fractions
Chapter 8 Decimals
Chapter 9 Data Handling
Chapter 10 Mensuration
Chapter 11 Algebra
Chapter 12 Ratio And Proportion
Chapter 13 Symmetry
Chapter 14 Practical Geometry

NCERT Textbook Solutions For Class 6 Maths – All Exercises

Mathematics is a very interesting subject. But unfortunately, many students find it difficult. But that’s not because Mathematics is really a difficult subject. Students find it difficult because most of them do not have their basics clear for the subject. Lack of sufficient practice tool is a reason why solving Mathematical problems seems a tough nut to crack.

There are a total of 14 different chapters provided in the textbook of maths for class 6. In these chapters, students will be able to learn more about numbers, geometrical shapes, integers, fractions, decimals, handling data, algebra, mensuration, symmetry, proportion, and ratio along with some details of practical geometry as well. There are also additional exercises in the chapters. These chapters provide a basic understanding of different topics which have both theoretical and practical applications.

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

Exercise 1.1
Exercise 1.2
Exercise 1.3

NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers

Exercise 2.1
Exercise 2.2
Exercise 2.3

NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers

Exercise 3.1
Exercise 3.2
Exercise 3.3
Exercise 3.4
Exercise 3.5
Exercise 3.6
Exercise 3.7

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
Exercise 4.5
Exercise 4.6

NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shape

Exercise 5.1
Exercise 5.2
Exercise 5.3
Exercise 5.4
Exercise 5.5
Exercise 5.6
Exercise 5.7
Exercise 5.8
Exercise 5.9

NCERT Solutions for Class 6 Maths Chapter 6 Integers

Exercise 6.1
Exercise 6.2
Exercise 6.3

Class 6 Maths NCERT Solutions Chapter 7 Fractions

Exercise 7.1
Exercise 7.2
Exercise 7.3
Exercise 7.4
Exercise 7.5
Exercise 7.6

Class 6 Maths NCERT Solutions Chapter 8 Decimals

Exercise 8.1
Exercise 8.2
Exercise 8.3
Exercise 8.4
Exercise 8.5
Exercise 8.6

Class 6 Maths NCERT Solutions Chapter 9 Data Handling

Exercise 9.1
Exercise 9.2
Exercise 9.3
Exercise 9.4

Class 6 Maths NCERT Solutions Chapter 10 Mensuration

Exercise 10.1
Exercise 10.2
Exercise 10.3

Class 6 Maths NCERT Solutions Chapter 11 Algebra

Exercise 11.1
Exercise 11.2
Exercise 11.3
Exercise 11.4
Exercise 11.5

Class 6 Maths NCERT Solutions Chapter 12 Ratio and Proportion

Exercise 12.1
Exercise 12.2
Exercise 12.3

Class 6 Maths NCERT Solutions Chapter 13 Symmetry

Exercise 13.1
Exercise 13.2
Exercise 13.3

Class 6 Maths NCERT Solutions Chapter 14 Practical Geometry

Exercise 14.1
Exercise 14.2
Exercise 14.3
Exercise 14.4
Exercise 14.5
Exercise 14.6

NCERT Solutions Class 6 Maths & Topic All Chapters

There are a total of 14 different chapters provided in the textbook of maths for class 6. In these chapters, students will be able to learn more about numbers, geometrical shapes, integers, fractions, decimals, handling data, algebra, mensuration, symmetry, proportion, and ratio along with some details of practical geometry as well. There are additional exercises in the chapters which are also solved in the PDF.

Class 6 Maths Chapter 1 Knowing Our Numbers

Class 6 Maths Chapter 1 Knowing Our Numbers chapter deals with the number of values a particular number can reach up to. It tells about large quantities that can reach up to a crore, roman numerals, use of brackets, rounding off, and estimation of differences between two values. This chapter is considered to be the simplest of all chapters given in the 6th Class Maths NCERT Book. You are thus required to have a thorough understanding of this chapter to have your concepts cleared for higher studies.

Class 6 Maths Chapter 2 Whole Numbers

The chapter begins with an introduction to the concept of Whole Numbers. Going forward, the chapter entails topics such as predecessor and successor of a natural number, addition, subtraction and representation of natural numbers on the number line. There are 3 exercises present in the chapter.

Class 6 Maths Chapter 3 Playing With Numbers

Students, in this chapter, learn about the concept of prime numbers, composite numbers, common multiples, co-prime numbers, and common factors. This chapter broadens the concept of numbers for students with an introduction to HCF and LCM.

Class 6 Maths Chapter 4 Basic Geometrical Ideas

The chapter provides the student with the first-ever encounter with Geometry in 6th Standard Maths. The chapter includes 6 exercises relating to figures like polygons, quadrilaterals, circle, triangle, line, angle, etc. The study material provided on this page covers detailed solutions to all questions in this chapter and helps a student in getting a clear understanding of geometry.

Class 6 Maths Chapter 5 Understanding Elementary Shapes

Understanding Elementary Shapes helps the students in understanding all types of shapes that are framed using curves or lines. Students learn to effectively observe the corners, edges, planes, open curves and closed curves in the surroundings. A total of 9 exercises are present in the chapter that helps the students to understand the shapes better.

Class 6 Maths Chapter 6 Integers

Chapter 6 of Class 6 Integers deals with the presentation of the idea of negative numbers. Students learn the representation of Integers on a number line, ordering of Integers, the addition of Integers, subtraction of Integers, addition of Integers on a number line and subtraction of Integers with the help of a number line in this chapter. There are a total of 3 exercises present in the chapter.

Class 6 Maths Chapter 7 Fractions

The 7th chapter of the Math Class 6 Solution shall deal with the topic of ‘Fractions,’ which can be considered an extension of the topic “division,” which we learned in elementary school. This chapter covers the different types of fractions like proper, improper, mixed, equivalent, and like. The solutions provided in the PDF also include questions relating to the addition, subtraction of fractions, which constitutes a central part of the segment.

Class 6 Maths Chapter 8 Decimals

The chapter, Decimals, discusses the idea of Decimals through word problems and later progresses to complex concepts related to Decimals. Tenths, hundredths, comparing and using Decimals, money, length, weight, the addition of numbers with Decimals and subtraction of Decimals are some of the topics covered in this chapter. The chapter contains 6 exercises with problems related to the concepts discussed in the chapter.

Class 6 Maths Chapter 9 Data Handling

Chapter 9 of Class 6 Maths, Data Handling introduces the students to the topic of data, types of data and the different representation of data. Introduction to data, recording data, organization of data, introduction to the idea of pictograph, interpretation of a pictograph, how to draw a pictograph, introduction to a bar graph, interpretation of a bar graph presentation and drawing a bar graph are the basic topics discussed in this chapter to help the students understand the concept of Data Handling. The chapter houses 4 exercises to help the students in understanding the topic better.

Class 6 Maths Chapter 10 Mensuration

Once you have 6th Class Maths book, a simple look of this chapter will give you an idea about how tricky and tough Mensuration can be! But no trick or toughness has not been dealt with in detail and the easy-to-do manner in the given NCERT Solutions. The key to being good at this topic depends on the level of understanding and confidence in measuring perimeters, the area of various shapes in maths.

Class 6 Maths Chapter 11 Algebra

Chapter 11 provides students with an insight to a new topic called algebra. The Class 6 Maths Solutions contains solutions to exercises concerning algebraic concepts such as variables, equations, matchstick patterns, etc. Algebra is essential for students willing to take up Maths in higher classes, and hence, the basic concepts of this chapter are very well enumerated in NCERT Solution for Class 6.

Class 6 Maths Chapter 12 Ratio and Proportion

Chapter 12, Ratio and Proportion, helps the students learn about certain circumstances that can be compared by division. The comparison by division is the ratio. Moreover, students will also come to know that if two ratios are equivalent, they are said to be proportional. The chapter starts with giving away the idea of ratio. Along with the concept of ratio, the chapter also deals with the idea of proportion, examples related to it and finally concludes with providing examples based on the unitary method. This chapter has 3 exercises to help the students in understanding the topics covered in the chapter in a better way.

Class 6 Maths Chapter 13 Ratio and Proportion

Chapter 13, Symmetry has a total of 3 exercises that helps the students learn how to determine symmetrical items and operations based on Symmetry. Making Symmetric Figures- Ink-blot Devils, Figures with Two Lines of Symmetry, Figures with Multiple (more than two) Lines of Symmetry, Reflection and Symmetry are the principal topics described in this chapter.

Class 6 Maths Chapter 14 Practical Geometry

This chapter deals with the concept of the Line of Symmetry and its identification for a reflection in the mirror. An easy chapter that has been covered with clarity in the solutions provided.

NCERT Books for Class 6 Maths PDF Download

NCERT Books Class 6 Maths : The National Council of Educational Research and Training (NCERT) publishes Maths textbooks for Class 6. The NCERT Class 6th Maths textbooks are well known for it’s updated and thoroughly revised syllabus. The NCERT Maths Books are based on the latest exam pattern and CBSE syllabus.

NCERT keeps on updating the Maths books with the help of the latest question papers of each year. The Class 6 Maths books of NCERT are very well known for its presentation. The use of NCERT Books Class 6 Maths is not only suitable for studying the regular syllabus of various boards but it can also be useful for the candidates appearing for various competitive exams, Engineering Entrance Exams, and Olympiads.

NCERT Class 6 Maths Books in English PDF Download

NCERT Class 6 Maths Books are provided in PDF form so that students can access it at any time anywhere. Class 6 NCERT Maths Books are created by the best professors who are experts in Maths and have good knowledge in the subject.

NCERT Textbooks for 6th Class Maths

Chapter 1: Knowing Our Numbers

NCERT Solutions for class 6 Maths

Chapter 2: Whole Numbers
Chapter 3: Playing With Numbers
Chapter 4: Basic Geometrical Ideas
Chapter 5: Understanding Elementary Shapes
Chapter 6: Integers
Chapter 7: Fractions
Chapter 8: Decimals
Chapter 9: Data Handling
Chapter 10: Mensuration
Chapter 11: Algebra
Chapter 12: Ratio and Proportion
Chapter 13: Symmetry
Chapter 14: Practical Geometry
NCERT Answers

NCERT Books for Class 6 Maths (गणित) – Hindi Medium

अध्याय 1: अपनी संख्याओं की जानकारी
अध्याय 2: पूर्ण संख्याएँ
अध्याय 3: संख्याओं के साथ खेलना
अध्याय 4: आधारभूत ज्यामितीय अवधारणाएँ
अध्याय 5: प्रारंभिक आकारों को समझना
अध्याय 6: पूर्णांक
अध्याय 7: भिन्न
अध्याय 8: दशमलव
अध्याय 9: आँकड़ों का प्रबंधन
अध्याय 10: क्षेत्रमिति
अध्याय 11: बीजगणित
अध्याय 12: अनुपात और समानुपात
अध्याय 13: सममिति
अध्याय 14: प्रायोगिक ज्यामिती

The NCERT syllabus mainly focuses on this book to make it student-friendly to make it useful for both the students and the competitive exam aspirants. The book covers a detailed Maths based on the syllabuses of various boards. NCERT Maths Books for Class 6 is perfectly compatible with almost every Indian education state and central boards.

We hope that this detailed article on NCERT Books Class 6 Maths helps you in your preparation and you crack the Class 6 exams or competitive exams with excellent scores.

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Class 6 - Maths

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Updated according to new NCERT - 2023-24 NCERT Books.

Get NCERT Solutions of every exercise question and examples of Class 6 Maths. Answers to all the questions have been solved step-by-step with concepts of each chapter also explained.

For Class 6, we have divided the chapter into two parts - Serial Order Wise and Concept Wise.

Just like in the NCERT, we have exercises and examples. In Serial Order Wise, we have exercises and questions. And their solutions.

You can click on any exercise link to find the answer to particular question.

That is not the best way of studying.

The best way is Teachoo's (टीचू) way - Concept wise.

In Concept wise, the chapter is divided into concepts. First the concept is explained, and then the questions of that concept is solved. Questions are ordered from easy to difficult.

This is the best to revise the chapter, as well as to do it the first time.

In the NCERT of Class 6 Maths, the chapters and topics in them are:

Chapter 1 Knowing Our Numbers - What is a number, Place value of numbers, Indian Number System, International Number System, Writing commas, Comparing Large numbers, Addition, Subtracting, Multiplying, Dividing Large Numbers, What is estimation, Rounding off, Rounding off to nearest tens, hundreds, thousands, General Rule for Rounding off, Roman Numerals, Writing numbers in Roman Numerals
Chapter 2 Whole Numbers - Natural Numbers, Whole Numbers, Predecessor, Successor, Writing whole numbers in number line, Properties of Whole Numbers - Closure, Commutativity, Associativity,
Chapter 3 Playing with Numbers - Factors, Multiples, Properties of Factors, and Multiples, Prime and Composite Numbers, Prime numbers upto 100, Tests of divisibility - Divisibility by 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13. Common Factors and Common Multiples, More Divisibility Rules, Highest Common Factor (HCF), Least Common Multiple (LCM), Statement questions on LCM and HCF
Chapter 4 Basic Geometrical Ideas - We study basic geometry shapes like Point, Line, Line Segment, Ray, Intersecting Lines, Parallel Lines, Curves - Simple, Closed, Open, Polygons, Angles, Triangles, Quadrilaterals, Circles
Chapter 5 Understanding Elementary Shapes - In this chapter, we will learn - different ways to measure length of a line segment, Straight and Right angles as revolution, Straight and right angles in a clock, Acute, Obtuse and Reflex Angles, Measuring angles using Protractor, Perpendicular lines, Perpendicular bisectors, Classifying Triangles on the basis of side and angles, Quadrilaterals and different types of Quadrilaterals, Polygons, Polygons with n sides, Some common 3 Dimensional Shapes
Chapter 6 Integers - What are negative numbers, What are integers, Integers on the number line, Adding and subtracting integers, Add and Subtract Integers using Number line
Chapter 7 Fractions - What are fractions, finding fractions, drawing fractions on the number line, Proper Fractions, Improper Fractions, Mixed Fractions, Converting fractions to mixed fractions, Equivalent Fractions, Simplest form of fractions, Like and Unlike Fractions, Comparing fractions, Adding and Subtracting Fractions
Chapter 8 Decimals - What are Decimal Numbers, Tenth, Hundredth, Thousandth in a Number, Place Value of Decimal Numbers, Writing words to numbers, Decimals to Fractions, Writing Decimals on the Number Line, Converting mm to cm, cm to m, g to kg, Writing Decimals to Fractions, Comparing Decimals, Addition and Subtraction of Decimals,
Chapter 9 Data Handling - What is Data, Frequency Distribution Table, Tally Marks, Reading a pictograph, drawing a pictograph, Reading a bar graph, Drawing a bar graph,
Chapter 10 Mensuration - What is perimeter, Perimeter of Square, Rectangle, Equilateral Triangle, Finding area by counting the squares, Finding Area of Rectangle, Area of Square,
Chapter 11 Algebra - Forming letters using matchsticks, What is a variable, Perimeter Formulas as Variable, Commutativity, Associativity, Distributivity as variables, What is an expression, Converting statement to algebra expressions with variable, What is an equation, Finding solutions of an equation by trial and error
Chapter 12 Ratio and Proportion - What are rations, finding ratios, ratios and fractions, finding ratios with different units, finding equivalent ratios, What is proportion, Unitary method
Chapter 13 Symmetry - What is symmetry, what are symmetrical objects, Drawing line of symmetry, completing figures with line of symmetry given, figures with more than 1 line of symmetry, Line of symmetry of common figures, Line of symmetry of Alphabets, Reflection Symmetry
Chapter 14 Practical Geometry - How to draw constructions, tools used in construction, drawing a circle when radius is known, Constructing a line segment of given length, Copying a line segment, Drawing perpendicular to a line through a point on it and not on it - using compass, and using set squares, Drawing perpendicular bisector of a line segment, Drawing an angle using protractor, Copying an unknown angle, Drawing an angle using compass

Note: When you click on a topic link, or an exercise link - the first question will open. To check other concepts or questions of that exercise, there is a list with arrows at the bottom of the page. You can check all the questions from it. Or you can also click next and do questions one by one.

Important questions are also marked for your reference.

Click on a chapter link below to get started.

Chapter 1 Class 6 Knowing our Numbers

Chapter 2 class 6 whole numbers, chapter 3 class 6 playing with numbers, chapter 4 class 6 basic geometrical ideas, chapter 5 class 6 understanding elementary shapes, chapter 6 class 6 integers, chapter 7 class 6 fractions, chapter 8 class 6 decimals, chapter 9 class 6 data handling, chapter 10 class 6 mensuration, chapter 11 class 6 algebra, chapter 12 class 6 ratio and proportion, practical geometry.

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NCERT Solutions for Class 6 Maths Chapter 1 - Knowing Our Numbers

NCERT Solutions
Chapter 1 Knowing Our Numbers

Chapter 1 of the class 6 maths syllabus is on ‘Knowing Our Numbers’. This is a very important chapter in class 6 that develops a student’s number sense. This crucial chapter in the class 6 maths syllabus is divided into 5 major sections or topics. The following is a list of the important topics covered under NCERT Solutions for Class 6 Maths Chapter 1 - Knowing Our Numbers . We recommend that students carefully read through each one of these topics to get a clear understanding of the concepts introduced in the chapter and be able to utilize the provided solutions appropriately and efficiently.

Vedantu’s expert teachers have meticulously curated these solutions for the betterment of clarity in internalizing the concepts included in this chapter and to ensure that students are able to score well in exams easily after going through and practicing these solutions.

Glance on NCERT Solutions for Class 6 Maths Chapter 1

Chapter 1 of Class 6 Maths, "Knowing Our Numbers," focuses on strengthening your understanding of numbers and their basic operations.

Revisit the concept of numbers and how they help us count and measure things around us.

Comparing Numbers dives into techniques for comparing numbers. You'll learn how to identify the greater and smaller number, along with using symbols like '<' (less than) and '>' (greater than).

Place Value System is an important concept that deals with the value of a digit based on its position in a number.

We will polishes your skill of reading and writing larger numbers, potentially up to six digits. Also learn about using commas to separate groups of digits for better readability (e.g., 1,234).

Practice arranging numbers in ascending order (smallest to biggest) and descending order (biggest to smallest).

There are three exercises (16 fully solved questions) in class 6th maths chapter 1 Knowing Our Numbers.

S.No.	Current Syllabus Exercise of Class 6 Maths Chapter 1
1
2

Access NCERT Solutions for Class 6 Maths Chapter 1- Knowing Our Numbers

Exercise 1.1

1. Fill in the blanks:

(a) 1 lakh = ____ ten thousand

(b) 1 million =____ hundred thousand

(d) 1 crore =____ million

(e) 1 million = ____ lakh

(a) 1 lakh = \[10\] ten thousand

(b) 1 million = \[10\] hundred thousand

(d) 1 crore = \[10\] million

(e) 1 million = \[10\] lakh

2. Place commas correctly and write the numerals:

(a) Seventy-three lakh seventy-five thousand three hundred seven.

(b) Nine crore five lakh forty-one.

(d) Fifty-eight million four hundred twenty-three thousand two hundred two.

(e) Twenty-three lakh thirty thousand ten.

(a) Seventy-three lakh seventy-five thousand three hundred seven \[=\text{ }73,75,307\text{ }\]

(b) Nine crore five lakh forty-one \[=\text{ }9,05,00,041\]

(d) Fifty-eight million four hundred twenty-three thousand two hundred two \[=\text{ }58,423,202\]

(e) Twenty-three lakh thirty thousand ten \[=\text{ }23,30,010\]

3. Insert commas suitable and write the names according to Indian system of numeration:

(a) 87595762

(b) 8546283

(d) 98432701

(a) \[8,75,95,762=\] Eight-crore seventy five lakh ninety-five thousand seven hundred sixty two

(b) \[85,46,283=\] Eighty-five lakh forty-six thousand two hundred eighty three

(d) \[9,84,32,701=\] Nine crore eighty-four lakh thirty-two thousand seven hundred one

4. Insert commas suitable and write the names according to International system of numeration:

(a) 78921092

(b) 7452283

(d) 48049831

(a) \[78,921,092=\] Seventy eight million nine hundred twenty one thousand ninety two

(b) \[7,452,283=\] Seven million four hundred fifty two thousand two hundred eighty three

(d) \[48,049,831=\] Forty eight million forty nine thousand eight hundred thirty one

Exercise 1.2

1. A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively \[\mathbf{1094},\mathbf{1812},\mathbf{2050}\text{ }\mathbf{and}\text{ }\mathbf{2751}\]. Find the total number of tickets sold on all the four days.

Tickets sold of first day \[=\text{ }1,094\]

Tickets sold of second day \[=\text{ }1,812\]

Tickets sold of third day = 2,050

Tickets sold of fourth day \[=~2,751\]

Total tickets sold \[\begin{align} & =\text{ }1,094+1,812+2,050+2,751 \\ & =\text{ }7,707 \\ \end{align}\]

2. Shekhar is a famous cricket player. He has so far scored \[\mathbf{6980}\] runs in test matches. He wishes to complete \[\mathbf{10},\mathbf{000}\] runs. How many more runs does he need?

Runs scored by Shekhar \[=\text{ }6980\]

Total number of runs he need \[\begin{align} & =\text{ }10,000-6980 \\ & =\text{ }3020 \\ \end{align}\].

3. In an election, the successful candidate registered \[\mathbf{5},\mathbf{77},\mathbf{500}\] votes and his nearest rival secured \[\mathbf{3},\mathbf{48},\mathbf{700}\] votes. By what margin did the successful candidate win the election?

Ans: Successful candidate secured votes \[=\text{ }5,77,500\]

Rival candidate secured votes \[=\text{ }3,48,700\]

Margin of votes \[\begin{align} & =\text{ }5,77,500-3,48,700 \\ & =\text{ }2,28,800 \\ \end{align}\]

4. Kirti Bookstore sold books worth \[\mathbf{2},\mathbf{85},\mathbf{891}\] in the first week of June and books worth \[\mathbf{4},\mathbf{00},\mathbf{768}\] in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?

Ans: Books sold in week one \[=\text{ }2,85,891\]

Books sold in week second \[=\text{ }4,00,768\]

Total sale \[=\text{ }4,00,768+2,85,891=6,86,659\]

Clearly, sale of second week is more than the first week sale

Difference \[\begin{align} & =\text{ }4,00,768-2,85,891 \\ & =\text{ }1,14,877 \\ \end{align}\]

5. Find the difference between the greatest and the least number that can be written using the digits \[\mathbf{6},\mathbf{2},\mathbf{7},\mathbf{4},\mathbf{3}\] each only once.

Ans: Largest five digit number \[=76432\]

Smallest five-digit number \[=\text{ }23467\]

Therefore, the difference between then \[\begin{align} & =\text{ }76432-23467 \\ & =\text{ }52965 \\ \end{align}\]

6. A machine, on an average, manufactures \[\mathbf{2},\mathbf{825}\]screws a day. How many screws did it produce in the month of January \[\mathrm{2006}\]?

Screws produced in one day \[=\text{ }2,825\]

Total Screws produced in \[31\] days \[\begin{align} & =\text{ }2,825\times 31\text{ } \\ & =\text{ }87,575 \\ \end{align}\]

Hence, the machine produced \[87,575\] screws in the month of January.

7. A merchant had \[\mathbf{78},\mathbf{592}\]with her. She placed an order for purchasing \[\mathbf{40}\] radio sets at \[\mathbf{1},\mathbf{200}\] each. How much money will remain with her after the purchase?

Total money merchant had \[=\text{ }Rs.\text{ }78,592\]

Cost of one radio \[=\text{ }Rs.\text{ }1200\]

Cost of \[40\] radios \[=\text{ }1200\times 40=\text{ }Rs.\text{ }48,000\]

Money left \[\begin{align} & =\text{ }78,592-48,000 \\ & =\text{ }30,592 \\ \end{align}\]

8. A student multiplied \[\mathbf{7236}\text{ }\mathbf{by}\text{ }\mathbf{65}\] instead of multiplying \[\mathbf{by}\text{ }\mathbf{56}\]. By how much was his answer greater than the correct answer?

Wrong answer \[\begin{align} & =\text{ }7236\times 65\text{ } \\ & =\text{ }470340 \\ \end{align}\]

Correct answer \[\begin{align} & =\text{ }7236\times 56\text{ } \\ & =\text{ }405216 \\ \end{align}\]

Difference in answers \[\begin{align} & =\text{ }470340-405216\text{ } \\ & =\text{ }65,124 \\ \end{align}\]

9. To stitch a shirt \[\mathbf{2}\text{ }\mathbf{m}\text{ }\mathbf{15}\text{ }\mathbf{cm}\] cloth is needed. Out of \[\mathbf{40}\text{ }\mathbf{m}\] cloth, how many shirts can be stitched and how much cloth will remain?

Cloth required for stitch one shirt

\[\begin{align} & =\text{ }2\text{ }m\text{ }15\text{ }cm \\ & =\text{ }2\times 100\text{ }cm+15\text{ }cm \\ & =215cm \\ \end{align}\]

Total length of cloth \[\begin{align} & =\text{ }40\text{ }m\text{ } \\ & =\text{ }40\times 100\text{ }cm \\ & =4000\text{ }cm \\ \end{align}\]

Number of shirts that can be stitched = \[\frac{4000}{215}\] \[215\overset{18}{\overline{\left){\begin{align} & 4000 \\ & \frac{-215}{\begin{align} & 1850 \\ & \frac{-1720}{130} \\ \end{align}} \\ \end{align}}\right.}}\]

Hence, \[18\] shirts can be stitched and \[130\text{ }cm\text{ }\left( 1\text{ }m\text{ }30\text{ }cm \right)\] cloth will be left.

10. Medicine is packed in boxes, each weighing \[\mathbf{4}\text{ }\mathbf{kg}\text{ }\mathbf{500}\text{ }\mathbf{g}\] . How many such boxes can be loaded in a can which cannot carry beyond \[\mathbf{800}\text{ }\mathbf{kg}\]?

Weight of a box \[\begin{align} & =\text{ }4\text{ }kg\text{ }500\text{ }g\text{ } \\ & =\text{ }4500\text{ }g \\ \end{align}\]

Number of boxes \[=\text{ }\frac{800000}{4500}\]

\[4500\overset{177}{\overline{\left){\begin{align} & 800000 \\ & \frac{-4500}{\begin{align} & 35000 \\ & \frac{-31500}{\begin{align} & 35000 \\ & \frac{-31500}{3500} \\ \end{align}} \\ \end{align}} \\ \end{align}}\right.}}\]

Hence, \[177\] boxes can be loaded in the Van.

11. The distance between the school and the house of a student’s house is \[\mathbf{1}\text{ }\mathbf{km}\text{ }\mathbf{875}\text{ }\mathbf{m}\]. Every day she walks both ways. Find the total distance covered by her in six days.

Distance between school and her house \[=\text{ }1875\text{ }m\]

Total distance covered \[\begin{align} & =\text{ }2\times 1875\text{ } \\ & =\text{ }3750\text{ }m \\ \end{align}\]

Distance covered in \[6\text{ }days\] \[\begin{align} & =\text{ }6\times 3750\text{ } \\ & =\text{ }22500\text{ }m \\ \end{align}\]

Thus, she covers \[22\text{ }km\text{ }500\text{ }m\] distance in \[6\text{ }days\]

12. A vessel has \[\mathbf{4}\text{ }\mathbf{liters}\text{ }\mathbf{and}\text{ }\mathbf{500}\text{ }\mathbf{ml}\] of curd. In how many glasses each of \[\mathbf{25}\text{ }\mathbf{ml}\] capacity, can it be filled?

Capacity of vessel \[\begin{align} & =\text{ }4\text{ }liters\text{ }500\text{ }ml\text{ } \\ & =\text{ }4500\text{ }ml \\ \end{align}\]

Capacity of a glass \[=\text{ }25\text{ }ml\]

Number of glasses can be filled \[=\text{ }\frac{4500}{25}\] \[25\overset{180}{\overline{\left){\begin{align} & 4500 \\ & \frac{-25}{\begin{align} & 200 \\ & \frac{-200}{0} \\ \end{align}} \\ \end{align}}\right.}}\]

Therefore, \[180\] glasses are required.

Practice and Master the Concepts of the Chapter Knowing Our Numbers Class 6 Maths Chapter 1

1.1 introduction.

As students entered into the sixth standard, the NCERT solutions try to recall all their knowledge on numbers at the beginning of the chapter. As the students already learned different calculations like Asian, subtraction, multiplication, and division with the numbers, here, they may learn other ways to calculate or count the big numbers to express huge quantities.

1.2 Comparing Numbers

The Class 6 Maths Chapter 1 Solutions PDF contains the topic “Knowing Our Numbers" to teach the students of grade 6 about comparing the larger numbers in different ways. Students can learn how to change the value of a number by shifting the digits, changing their places. Also, the subject experts explained the introduction of big numbers like 10,000 and 1,00,000. Not only numbers of students also taught how to find out the place value as well as keeping commas for the big numbers.

It ultimately deals with the reading and writing strategies of 5 - digit and 6 - digit numbers. So that the students can calculate more values while finding different problems as well as they are useful in their daily routine also.

1.2.1 How many numbers can you make?

1.2.2 Shifting of numbers.

1.2.3 Introducing 10,000.

1.2.4 Revisiting place value.

1.2.5 Introducing 1,00,000.

1.2.6 Larger numbers.

1.2.7 An aid in reading and writing large numbers.

1.3 Large Numbers in Practice

This part of Chapter 1 is important for Class 6 students to improve their thinking skills in math. It introduces the concept of estimation, teaching students how to estimate future events and plan for them. The chapter provides examples and scenarios to help students understand and practice estimating and forecasting. It also covers rounding numbers and basic arithmetic with large numbers.

1.3.1 Estimation

1.3.2 Estimating to the nearest tens by rounding off.

1.3.3 Estimating to the nearest hundreds by rounding off.

1.3.4 Estimating to the nearest thousands by rounding off.

1.3.5 Estimating outcomes of number situations.

1.3.6 To estimate sum or difference.

1.3.7 To estimate products.

1.4 Using Brackets

Introducing the usage of brackets is essential for 6th-grade students. The usage of brackets will occur mostly and two or more different things with one common point.so the students need to place the different things in a bracket, and the common thing will be outside the bracket. Students also learn the distribution of common things, which is outside the bracket to the different parts available within the brackets.

1.5 Roman Numerals

As the students knew the Hindu Arabic numeral system till primary classes, here they are introduced to the Roman numeric system, which is widely spread in the society. So, it is mandatory to teach them with several examples and perfect explanations. It can be easily done by NCERT Solutions Class 6 Maths Chapter 1.

Overview of Deleted Syllabus for CBSE Class 6 Maths Chapter 1 Knowing Our Numbers 2024-25

Dropped Topics Name

Estimating to the nearest tens by rounding off - 1.3.1 &1.3.2

Estimating to the nearest hundreds by rounding off - 1.3.3

Estimating to the nearest thousands by rounding off - 1.3.4

Estimating outcomes of number situations - 1.3.5

To estimate sum or difference - 1.3.6

To estimate products - 1.3.7

Using brackets - 1.4

Expanding brackets - 1.4.1

Roman numerals - 1.5

Exercises of Class 6 Maths Chapter 1 Knowing Our Numbers

Exercise	Number of Questions
Exercise 1.1	4 Questions and Solutions
Exercise 1.2	12 Questions and Solutions

The NCERT solutions for "Knowing Our Numbers" will help you understand place value, which is how the position of digits affects the value of a number. You will also learn how to compare and rank numbers, understand greater than, less than, and in-between figures, and work with larger numbers like thousands and crores. Additionally, you will learn how to write numbers using brackets and Roman numerals. In previous year question paper there were around 8-10 questions asked from the given topic.

Other Study Material for CBSE Class 6 Maths Chapter 1

Sr. No	Important Links for Chapter 1 Knowing our Numbers of Maths
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Chapter wise NCERT Solutions for Class 6 Maths

Given below are the chapter-wise NCERT Solutions for Class 6 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

S.No.	NCERT Solutions Class 6 Chapter-wise Maths PDF
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FAQs on NCERT Solutions for Class 6 Maths Chapter 1 - Knowing Our Numbers

1. What Makes NCERT Solutions the Best Choice?

Of course, the NCERT solutions are a perfect choice for the students with their distinct features. They are concerned more about the level of the students, and the subject experts will prepare the material in such a way which is easy to understand and good to practice.

The availability of PDF for free download is another positive feature that makes it more weight. Session of doubts clarification was fabulous for the students to get the clarification as well as confidence while solving problems.

2. To Stitch a Shirt, 2 m 15 cm Cloth is Needed. Out of 40 m Cloth, How many Shirts can be Stitched, and How much Cloth will Remain?

Cloth needed to stitch a single shirt = 2m 15cm

= 200 cms + 15 cms

Total cloth = 40 m

= 4000 cms

Number of shirts can be stitched with 4000 cm = 4000/ 215 cms

= 215*18 = 3870

= 18 shirts.

Remaining cloth = 4000 - 3870 = 130 cms.

So 18 shirts can be stitched with 40 m of cloth with 130 cm cloth will remain.

3. What are the topics covered in Chapter 1 of NCERT Solutions for Class 6 Maths?

The topics covered in the NCERT Solutions for Chapter 1 of NCERT Class 6 Maths are:

Comparing numbers- reading and writing 5 and 6 digit numbers

Estimation of figures

Usage of brackets

Roman numerals

This chapter is important as students will use the basics learnt here in various life situations too. Therefore students should make it a point to clear the fundamentals of this chapter.

4. How many problems are there in each exercise of NCERT Solutions for Chapter 1 of Class 6 Maths?

There are three exercises in NCERT Solutions for Chapter 1 of Class 6 Maths-

Exercise1.1- four questions with answers

Exercise 1.2- 12 questions with answers

E xercise 1.3- three questions with answers

Students can find the NCERT solutions to all exercises free of cost on Vedantu’s website. Solving all these exercise questions will make the fundamentals of students clear and will help them score well in exams.

5. Why should I refer to NCERT solutions for Chapter 1 of Class 6 Maths?

NCERT solutions for Class 6 Maths Chapter 1 builds from the fundamentals so that students can grasp the basics and progress to advanced concepts easily. You can refer to Vedantu’s NCERT solutions for free of cost to get an in-depth understanding of Chapter 1 Class 6 Maths. These solutions are prepared by experts who have decades of teaching experience and are written in easy to understand language.

6. How can I learn Maths in Chapter 1 of Class 6 Maths?

Students can learn Class 6 Maths from the NCERT textbook. The concepts are explained easily and taught from the basics so that all students can understand them. There are exercise questions at the end of each chapter that will test the student’s understanding of the concepts. Students can practice those questions to better understand the topic. Vedantu app and the website offers solutions to all exercise questions so that students can solve their doubts and learn how to solve each problem.

7. What are the rules of the Roman numeral system?

The rules followed while writing numbers in Roman numerals are-

The value of a symbol is added as many times as it repeats.

A symbol is never repeated more than three times except for V, Land D where it is never repeated.

The lower value symbol is added when it is present on the right side of a higher value symbol.

The lower value symbol is subtracted when it is present on the left side of a higher value symbol.

V, L and D are never subtracted.

8. What is the topic of class 6th maths chapter 1?

NCERT Solutions for Class 6 Maths, Chapter 1, covers the following topics:

An overview of numbers

Comparing figures

Both descending and ascending order

With a given set of digits, how many numbers can be formed?

Modifying the numbers

Set the value

Greater figures and approximations

Calculating the total or difference

Calculating numerical products

Making use of brackets

9. How do you introduce whole numbers in Class 6?

You already have a solid foundation in maths from prior years in Class 6. To expand on that understanding, introduce whole numbers in the following way:

Establish a connection with well-known ideas: Remind kids to count the numbers (1, 2, 3,...) that they encounter on a daily basis.

Present Zero : Talk about the significance of the placeholder zero and the idea of "nothing."

Emphasise Location Significance: Use manipulatives to show how a digit's value varies according to its position (ones, tens, hundreds, etc.), such as place value blocks or number charts.

Examine Similarities: Practice utilising the more than (), less than (>), and equal to (=) signs while comparing numbers using real-world examples (apples, marbles).

Explain How to Place Orders: Use number lines or activities such as lining up pupils from smallest to tallest to arrange numbers in ascending (increasing) and descending (decreasing) order.

10. How many types of numbers are there in Ncert Class 6 Maths Chapter 1?

Natural Numbers: These are the numbers that may be counted infinitely, beginning at 1. 1, 2, 3, 4,...

Whole Numbers: These consist of zero and every natural number, including 0, 1, 2, 3, 4,...

All whole numbers, as well as their negatives and zero, are considered integers. ..., 0, 1, 2, 3, -2, -1, -3,...

Fractions: A fraction bar separates the numerator and denominator, which symbolise the portions of a whole that a fraction represents: ½, ¾,...

Decimals: Numbers lower than one or fractions of a whole represented by a decimal point are called decimals. 0.5, 0.75,...

Rational numbers: are those that may be written as fractions in which the denominator is not zero and the numerator and denominator are both integers: ½, -3/4, 0.25, etc.

Irrational Numbers: Irrational numbers are those that have an infinite decimal representation that never repeats and cannot be stated as a fraction of two integers: Pi is π, the square root of two is √2,...

11. What are the natural numbers in Class 6 Math Chapter 1?

Natural numbers, which begin at 1 and go on indefinitely (1, 2, 3, 4, 5,...), are essentially the positive counting numbers. These are the numbers, which exclude zero (0), that you use to count items.

12. What is the unique number class 6?

There's no specific thing called a "unique number." But students learn about different kinds of numbers: natural numbers, whole numbers, integers, fractions, decimals, rational numbers, and irrational numbers. Each type of number has its own special properties.

For example, natural numbers are for counting things, while fractions show parts of a whole. Understanding each type of number helps students solve math problems and see how numbers are used in the real world.

13. How many problems are there in each exercise of NCERT Solutions for Class 6 Maths Chapter 1?

Students who regularly practise the exercise-based issues will have a better understanding of the subjects covered. Each of the exercises in Chapter 1 has the following amount of questions:

Exercise 1.1 – 4 questions

Exercise 1.2 – 12 questions

Exercise 1.3 – 3 questions

NCERT (CBSE and ICSE)

Class 6 Maths

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Assignments For Class 6 Mathematics

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Assignments for Class 6 Mathematics as per CBSE and NCERT pattern

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Assignments for Class 6 Mathematics as per CBSE NCERT pattern

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Please refer to Assignments for Class 6 for all subjects given below. We have given below free printable Assignments for Class 6 for easy and free download in PDF. The assignments have been developed based on the current year’s NCERT Books for Class 6. These Assignments for Grade 6 cover all critical topics which can come in your standard 6 class tests and exams. Free printable Assignments for CBSE Class 6 , school and class worksheets, and practice test papers have been developed by our experienced class 6 teachers. You can free download CBSE NCERT printable assignments for Class 6 with solutions and answers. All assignments and test sheets have been prepared by expert faculty as per the latest curriculum in Class 6. Students can simply click on the links below and download all Pdf assignments for class 6 for free. Latest Kendriya Vidyalaya Class 6 assignments and test papers are provided below.

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RD Sharma Solutions , RS Aggarwal Solutions and NCERT Solutions

Chapter-wise NCERT Solutions for Class 6 Maths PDF Free Download

From this page, students of CBSE class 6 can download chapter-wise NCERT Solutions for Class 6 Maths in pdf and know the answers to all the questions. It gives detailed explanations for all the questions presented in the NCERT 6th class maths textbooks guided by the Central Board of Secondary Education(CBSE). All solutions covered in the 6th Class Maths NCERT Solutions pdf make you understand the concepts easily and get a good grip on the subject. So, download the NCERT Solutions of 6th class mathematics pdf for better preparation.

Free PDF Download of Chapter-wise NCERT Textbook Solutions of 6th Class Mathematics

NCERT CBSE Maths Solutions for Class 6 are given here for all 15 chapters in pdf form. Go through the pdf quick links provided below and download chapter-wise NCERT 6th Class Maths Solutions Pdf for free . Get them offline and start preparing all questions & answer well in the annual exams. All these solutions are written by our subject experts as per the CBSE syllabus and guidelines. So, download & aid your maths exam preparation.

Class 6 Maths Chapter 1 Knowing Our Numbers

Class 6 Maths Chapter 1 Knowing Our Numbers Ex 1.1
Class 6 Maths Chapter 1 Knowing Our Numbers Ex 1.2
Class 6 Maths Chapter 1 Knowing Our Numbers Ex 1.3

Class 6 Maths Chapter 2 Whole Numbers

Class 6 Maths Chapter 2 Whole Numbers Ex 2.1
Class 6 Maths Chapter 2 Whole Numbers Ex 2.2
Class 6 Maths Chapter 2 Whole Numbers Ex 2.3

Class 6 Maths Chapter 3 Playing with Numbers

Class 6 Maths Chapter 3 Playing With Numbers Ex 3.1
Class 6 Maths Chapter 3 Playing With Numbers Ex 3.2
Class 6 Maths Chapter 3 Playing With Numbers Ex 3.3
Class 6 Maths Chapter 3 Playing With Numbers Ex 3.4
Class 6 Maths Chapter 3 Playing With Numbers Ex 3.5
Class 6 Maths Chapter 3 Playing With Numbers Ex 3.6
Class 6 Maths Chapter 3 Playing With Numbers Ex 3.7

Class 6 Maths Chapter 4 Basic Geometrical Ideas

Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1
Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.2
Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.3
Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.4
Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.5
Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.6

Class 6 Maths Chapter 5 Understanding Elementary Shapes

Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.1
Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.2
Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.3
Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.4
Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.5
Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6
Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.7
Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.8
Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.9

Class 6 Maths Chapter 6 Integers

Class 6 Maths Chapter 6 Integers Ex 6.1
Class 6 Maths Chapter 6 Integers Ex 6.2
Class 6 Maths Chapter 6 Integers Ex 6.3

Class 6 Maths Chapter 7 Fractions

Class 6 Maths Chapter 7 Fractions Ex 7.1
Class 6 Maths Chapter 7 Fractions Ex 7.2
Class 6 Maths Chapter 7 Fractions Ex 7.3
Class 6 Maths Chapter 7 Fractions Ex 7.4
Class 6 Maths Chapter 7 Fractions Ex 7.5
Class 6 Maths Chapter 7 Fractions Class 6 Ex 7.6

Class 6 Maths Chapter 8 Decimals

Class 6 Maths Chapter 8 Decimals Ex 8.1
Class 6 Maths Chapter 8Decimals Ex 8.2
Class 6 Maths Chapter 8 Decimals Ex 8.3
Class 6 Maths Chapter 8 Decimals Ex 8.4
Class 6 Maths Chapter 8 Decimals Ex 8.5
Class 6 Maths Chapter 8 Decimals Ex 8.6

Class 6 Maths Chapter 9 Data Handling

Class 6 Maths Chapter 9 Data Handling Ex 9.1
Class 6 Maths Chapter 9 Data Handling Ex 9.2
Class 6 Maths Chapter 9 Data Handling Ex 9.3
Class 6 Maths Chapter 9 Data Handling Ex 9.4

Class 6 Maths Chapter 10 Mensuration

Class 6 Maths Chapter 10 Mensuration Ex 10.1
Class 6 Maths Chapter 10 Mensuration Ex 10.2
Class 6 Maths Chapter 10 Mensuration Ex 10.3

Class 6 Maths Chapter 11 Algebra

Class 6 Maths Chapter 11 Algebra Ex 11.1
Class 6 Maths Chapter 11 Algebra Ex 11.2
Class 6 Maths Chapter 11 Algebra Ex 11.3
Class 6 Maths Chapter 11 Algebra Ex 11.4
Class 6 Maths Chapter 11 Algebra Ex 11.5

Class 6 Maths Chapter 12 Ratio and Proportion

Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.1
Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.2
Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.3

Class 6 Maths Chapter 13 Symmetry

Class 6 Maths Chapter 13 Symmetry Ex 13.1
Class 6 Maths Chapter 13 Symmetry Ex 13.2
Class 6 Maths Chapter 13 Symmetry Ex 13.3

Class 6 Maths Chapter 14 Practical Geometry

Class 6 Maths Chapter 14 Practical Geometry Ex 14.1
Class 6 Maths Chapter 14 Practical Geometry Ex 14.2
Class 6 Maths Chapter 14 Practical Geometry Ex 14.3
Class 6 Maths Chapter 14 Practical Geometry Ex 14.4
Class 6 Maths Chapter 14 Practical Geometry Ex 14.5
Class 6 Maths Chapter 14 Practical Geometry Ex 14.6

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NCERT Solutions for Class 6 Maths is the best study material to understand the concepts and solve each and every problem easily and quickly.

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Yes, CBSE 6th Class students can refer to the NCERT textbook solutions for better exam preparation. You can use these solutions for preparing all subjects like Maths, Science, Social Science, English & Hindi.

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Number Play NCERT Solutions | Mathematics (Maths) Class 6 PDF Download

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Number Play NCERT Solutions | Mathematics (Maths) Class 6

A child says '1' if there is only one taller child standing next to them. A child says '2' if both the children standing next to them are taller. A child says '0', if neither of the children standing next to them are taller. That is each person says the number of taller neighbours they have.

Try answering the questions below and share your reasoning:

Q6: Can you fill a supercell table without repeating numbers such that there are no supercells? Why or why not? Ans: No, it is not possible because at least one number will always be greater than its neighboring cells unless all the numbers are identical, but that would involve repetition. Q7: Will the cell having the largest number in a table always be a supercell? Can the cell having the smallest number in a table be a supercell? Why or why not? Ans: The cell with the largest number will always be a supercell because it is greater than all neighboring cells. The cell with the smallest number cannot be a supercell because it is smaller than its neighbors.

1. Pratibha uses the digits '4', '7', '3' and '2', and makes the smallest and largest 4-digit numbers with them: 2347 and 7432. The difference between these two numbers is 7432 - 2347 = 5085. The sum of these two numbers is 9779. Choose 4-digits to make: a. the difference between the largest and smallest numbers greater than 5085. b. the difference between the largest and smallest numbers less than 5085. c. the sum of the largest and smallest numbers greater than 9779. d. the sum of the largest and smallest numbers less than 9779. Ans: a. Digits: 9, 6, 5, 3 Largest number = 9653 Smallest number = 3569 Difference = 9653-3569 = 6084. b. Digits: 8, 7, 5, 4 Largest number = 8754 Smallest number = 4578 Difference = 8754 - 4578 = 4176. c. Digits: 9, 8, 7, 1 Largest number = 9871 Smallest number = 1789 Sum = 9871 +1789 = 11660 d. Digits: 8, 5, 2, 1 Largest number = 8321 Smallest number = 1238 Sum = 8321 + 1238 = 9559

Q2: What is the sum of the smallest and largest 5-digit palindrome? What is their difference? Ans: The smallest 5-digit palindrome = 10001 The largest 5-digit palindrome = 99999 Sum = 10001 + 99999 = 110000 Difference = 99999 - 10001 = 89998 Q3: The time now is 10:01. How many minutes until the clock shows the next palindromic time? What about the one after that? Ans: The next palindromic time is 11:11 which is 70 minutes after 10:01.The one after that is 12:21 which is again 70 minutes after 11:11. Q4: How many rounds does the number 5683 take to reach the Kaprekar constant? Ans: The given number is 5683 1st round Largest number = 8653 Smallest Number = 3568 Subtract = 8653 - 3568 = 5085 2nd round Largest number = 8550 Smallest number = 0558 Subtract = 8550 - 0558 = 7992 3rd round Largest number = 9972 Smallest number = 2799 Subtract= 9972 - 2799 = 7173 4th round Largest number = 7731 Smallest number = 1377 Subtract = 7731 - 1377 = 6354 5th round Largest number = 6543 Smallest number = 3456 Subtract = 6543 - 3456 = 3087 6th round Largest number = 8730 Smallest number = 0378 Difference = 8730 - 0378 = 8352 7th round Largest number = 8532 Smallest number = 2358 Difference = 8532-2358 = 6174 Therefore, the number 5683 takes 7 rounds to reach 6174 which is the Kaprekar constant.

Q2: Always, Sometimes, Never? Below are some statements. Think, explore and find out if each of the statement is 'Always true', 'Only sometimes true' or 'Never true'. Why do you think so? Write your reasoning; discuss this with the class. a. 5-digit number + 5-digit number gives a 5-digit number b. 4-digit number + 2-digit number gives a 4-digit number c. 4-digit number + 2-digit number gives a 6-digit number d. 5-digit number — 5-digit number gives a 5-digit number e. 5-digit number — 2-digit number gives a 3-digit number Ans: a. The statement is only sometimes true because 30,000 + 50,000 = 80,000 But, 70,000 + 90,000 = 1,60,000 (which is not a 5-digit number) b. The statement is only sometimes true because 2,000 + 70 2,070 But, 9,990 + 80 = 10,070 (which is not a 4-digit number) c. The statement is never true because 9,999 + 99 10,098 (which is not a 6-digit number) d. The statement is only sometimes true because 90,000 - 50,000 = 40,000 But, 11,000 - 10,000 = 1,000 (which is not a 5-digit number) e. The statement is never true because 10,000 - 509,950 (which is not a 3-digit number)

We shall do some simple estimates. It is a fun exercise, and you may find it amusing to know the various numbers around us. Remember, we are not interested in the exact numbers for the following questions. Share your methods of estimation with the class. Q1: Steps you would take to walk: a. From the place you are sitting to the classroom door b. Across the school ground from start to end c. From your classroom door to the school gate d. From your school to your home Ans: a. 35 steps. b. 600 steps. c. 400 steps. d. 10,000 steps. Q2. Number of times you blink your eyes or number of breaths you take: a. In a minute b. In an hour c. In a day Ans: a. 20 times b. No. of times eyes blink in a minute = 20 No. of minutes in a hour = 60 minutes No. of times eyes blink in an hour = 20 x 60 = 1200. c. No. of times eyes blink in an hour = 1200 No. of hours in a day = 24 hours No. of hours we sleep in a day = 7 hours No of times eyes blink in a day = (24 - 7) x 1200 = 17 x 1200 = 20,400 Q3: Name some objects around you that are: a. a few thousand in number b. more than ten thousand in number Ans: a. Leaves of tree, grains of rice, seeds, dry fruits. b. Grains of sand, words in a book, strands of hair, threads in a fabric, pixels on a T.V screen.

Try to guess within 30 seconds. Check your guess with your friends. Q1: Number of words in your maths textbook: a. More than 5000 b. Less than 5000 Ans: (a) Q2: Number of students in your school who travel to school by bus: a. More than 200 b. Less than 200 Ans: (a) Q3: Roshan wants to buy milk and 3 types of fruit to make fruit custard for 5 people. He estimates the cost to be 100. Do you agree with him? Why or why not? Ans: Estimated cost of milk = 60 Estimated cost of 3 fruits = 150 (₹50 for each fruit) Estimated cost of custard powder = 50 Total estimated cost of making custard = 60 + 50 + 150 = 260. No, I don't agree withRoshan's estimate because I think cost of making custard for 5 people is likely to be around 260. Q4: Estimate the distance between Gandhinagar (in Gujarat) to Kohima (in Nagaland). [Hint: Look at the map of India to locate these cities.] Ans: 3000 km.

Q5: Sheetal is in Grade 6 and says she has spent around 13,000 hours in school till date. Do you agree with her? Why or why not? Ans: Total school days per year = 210 Total hours spent in school per day = 6 hours Total hours spent in school per year = 210 × 6 = 1260 hours Total number of years in school by Grade 6 = 8 years Therefore, total hours spent in school in 8 years = 1260 x 8 = 10,080 hours. No, I don't agree with Sheetal's estimate that she has spent around 13,000 hours in school till date because I think the more reasonable estimate would be around 10,000 hours. Q6: Earlier, people used to walk long distances as they had no other means of transport. Suppose you walk at your normal pace. Approximately how long would it take you to go from: a. Your current location to one of your favourite places nearby. b. Your current location to any neighbouring state's capital city. c. The southernmost point in India to the northernmost point in India. Ans: a. Approximately 1 hour. b. Around 7-8 days. c. Around 100 days. Q7: Make some estimation questions and challenge your classmates! Ans: To be done by the students.

Q8: Recall the sequence of Powers of 2 from Chapter 1, Table 1. Why is the Collatz conjecture correct for all the starting numbers in this sequence? Ans: Power of 2 sequence: 1, 2, 4, 8, 16, 32, 64, ... Power of 2 sequence contains all even numbers. When dividing an even number by 2, we will get an even number but by repeatedly dividing an even number by 2, we will eventually reach 1. This is why Collatz conjecture is correct for all the starting numbers in this sequence. Example: 16 (power of 2) 16/2 = 8 8/2 = 4 4/2 = 2 2/2 = 1 Q9: Check if the Collatz Conjecture holds for the starting number 100. Ans: Collatz conjecture: If the number is even, take half of it;if the number is odd, multiply it by 3 and add 1. If you continue doing this you will always reach number 1, regardless of the number you start with. 100 (even) : 100/2 = 50 50 (even): 50/2 = 25 25 (odd): 25 x 3 + 1 = 76 76 (even): 76/2 = 38 38 (even): 38/2= 19 19 (even): 19 x 3 + 1 = 58 58 (even): 58/2 = 29 29 (odd): 29 x 3 + 1 = 88 88 (even): 88/2 = 44 44 (even): 44/2 = 22 22 (even): 22/2 = 11 11 (odd): 11 x 3 + 1 = 34 34 (even): 34/2 = 17 17 (even): 17 x 3 + 1 = 52 52 (even): 52/2 = 26 26 (even): 26/2 = 13 13 (even): 13 x 3 + 1 = 40 40 (even): 40/2 = 20 20 (even): 20/2= 10 10 (even): 10/2 = 5 5 (even): 5 x 3 + 1 = 16 16 (even): 16/2 = 8 8 (even): 8/2 = 4 4 (even): 4/2 = 2 2 (even): 2/2 = 1 Q10: Starting with O, players alternate adding numbers between 1 and 3. The first person to 10. reach 22 wins. What is the winning strategy now? Ans: (i) Start by adding 3 on your first turn to reach 3. (ii) Then, always move in such a way that you leave the opponent on a multiple of 4. (iii) Following this strategy will ensure that you reach 22 first, securing the win.

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NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Patterns in Mathematics

NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Patterns in Mathematics in Hindi and English Medium updated for academic session 2024-25. Get here simplified solutions of Class 6 Maths textbook Ganita Prakash chapter 1 with complete explanation.

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In class 6 mathematics textbook GANITA PRAKASH chapter 1, we explore the beauty of patterns in mathematics. Patterns are everywhere around us—in nature, our homes, schools and even the stars. Mathematics helps us identify these patterns and understand why they exist. Imagine how exciting it is to see a pattern in something as simple as counting numbers or as complex as the structure of DNA! This chapter will help you discover different patterns, making you feel like a detective, searching for clues in the world of numbers and shapes. Remember, math is both art and science and discovering patterns can be fun and creative!

NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Patterns in Mathematics

Number Patterns – Recognising Sequences One of the most common patterns we encounter in mathematics is number sequences. For example, counting numbers like 1, 2, 3, 4 or even numbers like 2, 4, 6, 8, follow specific rules. These rules are easy to identify, making math feel predictable and structured. In this chapter, you will learn about various number sequences such as triangular numbers (1, 3, 6, 10…), squares (1, 4, 9, 16…) and cubes (1, 8, 27, 64…). Each sequence has a unique rule that generates the next number and you will be challenged to figure out these rules for yourself!

Patterns can also be seen through pictures. For instance, when we talk about square numbers, we can arrange dots in a square grid, helping us visualise how the numbers grow. Triangular numbers can be seen as dots forming triangles. This visualisation helps us understand the pattern even better. In this chapter, you will practice drawing these visual patterns, which will make it easier to grasp the concepts behind number sequences.

Exploring Shape Patterns Mathematics isn’t just about numbers; patterns also exist in shapes. Regular polygons, like triangles , squares, pentagons, and hexagons, all follow predictable patterns. For instance, the number of sides in a polygon can be described using counting numbers. These shape sequences can be just as fascinating as number sequences and they show how connected different areas of mathematics are. By observing shapes, you will discover new ways to see the world of math.

Sometimes, number sequences and shape sequences are connected. For example, the number of sides in a shape sequence of polygons follows a number sequence, starting from 3 for a triangle, 4 for a square and so on. This relationship between numbers and shapes is what makes mathematics so beautiful and interconnected. Understanding these connections will give you a deeper insight into both number and shape patterns.

One interesting activity in this chapter is adding odd numbers. For example, when you add 1 + 3 + 5, you get 9, which is a square number. This pattern continues forever! The chapter explains that visualizing this through pictures can help us understand why this happens. By drawing squares and counting dots, you can see how adding odd numbers gives us square numbers. This concept shows how patterns can be hidden in simple things like adding numbers.

Throughout this chapter, we’ve explored patterns in numbers and shapes, learning how they are connected and how we can visualize them. Now, to fully master the concepts and solve more exciting problems, I encourage you to visit Tiwari Academy for the complete NCERT Solutions for all chapter. Tiwari Academy offers step-by-step explanations and answers that will help you practice and deepen your understanding of patterns in mathematics. Keep discovering and exploring, because math is full of exciting patterns waiting to be uncovered!

Class 6 Maths Ganita Prakash Chapter 1 Patterns in Mathematics

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NCERT Curiosity Class 6 Science Worksheets with Answers

Are you looking for engaging and effective tools to help your child excel in Science? Our collection of Class 6 Science Worksheets is designed to make learning fun and interactive.

Our worksheets cover a wide range of topics, from the amazing world of plants and animals to the wonders of the human body and the laws of physics. With our carefully crafted worksheets, your child will have the opportunity to practice key concepts, and reinforce their understanding.

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1: The Wonderful World of Science 2: Diversity in the Living World 3: Mindful Eating: A Path to a Healthy Body 4: Exploring Magnets 5: Measurement of Length and Motion 6: Materials Around Us 7: Temperature and its Measurement 8: A Journey through States of Water 9: Methods of Separation in Everyday Life 10: Living Creatures: Exploring their Characteristics 11: Nature’s Treasures 12: Beyond Earth

NCERT Class 6 Science Book Curiosity

The NCERT board has introduced new textbooks for the academic year 2024-25, incorporating modern teaching methods and updated content. Please visit the official NCERT website to download the NCERT Class 6 science book PDF .

Curiosity: Class 6 Science book is designed to spark a lifelong passion for learning in young minds. Aligned with the National Education Policy (NEP) 2020, this innovative textbook shifts away from rote memorization towards a competency based approach.

By emphasizing hands-on activities, critical thinking, and real-world applications, Curiosity empowers students to become active participants in their own learning. The Science textbook integrates concepts from biology, chemistry, and physics, helping students to understand the interconnection of the natural world.

With a focus on inquiry-based learning and problem-solving, Curiosity aims to equip students with the latest skills of 21st century. Through engaging experiments, thought-provoking questions, and real-world examples, the textbook fosters a love of learning and a curiosity about the world around us.

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Our Science Worksheet for Class 6 PDF offer a multitude of benefits for students.

Reinforced Learning: Our worksheets are designed to reinforce key concepts taught in the classroom, helping students solidify their understanding of scientific principles.
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NCERT Class 6 Books will have a major impact on the future prospects of students. In this stage, students develop an interest in learning all the concepts and topics thoroughly and pay specific attention to developments in the academic fields. To score well in Class 6 final exams, students should know the right material to choose for study. Among them, NCERT Books for Class 6 is the most valuable study resource, which is designed by a panel of subject-matter experts. We at BYJU’S, provide NCERT Books for Class 6 for subjects Maths, Science, Social Studies, English and Hindi.

Class 6 NCERT Books provide a detailed explanation of every concept of all the units under the NCERT Class 6 Syllabus. NCERT books use simple language to describe all concepts and topics so that students can easily grasp even the difficult ones. Students can access the NCERT Class 6 textbooks by clicking on the links in the table below. These textbooks are provided in PDF format so that students can download them for future reference. It will help to clear their doubts and score high marks in the final exam.

NCERT Book for Class 6 Maths

NCERT Book for Class 6 Maths is available in two languages – English and Hindi on BYJU’S website to help students score well in Maths. These books are easy-to-understand and are helpful in simplifying even the most complicated topics. The Maths book of NCERT Class 6 helps in building a solid foundation for higher classes as well. Click the below links to download the PDFs of the NCERT Book for Class 6 Maths in English and Hindi. These textbooks are prepared by referring to NCERT Class 6 Maths Syllabus .

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NCERT Book for Class 6 Science

NCERT Textbook of Class 6 Science consists of all three sections: Physics, Chemistry and Biology. These textbooks are designed by subject-matter experts in accordance with the NCERT Class 6 Science Syllabus . Students should refer to the Science textbook while preparing for the final exam because the question paper will be prepared by referring to it. The NCERT Science textbook for Class 6 is highly recommendable as it helps enhance the knowledge of students as well as their exam preparations.

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NCERT Book for Class 6 Social Science

In the table below, we have given the PDF links to NCERT Book for Class 6 Social Science for History, Geography and Civics. Students can score the desired marks if they refer to these books for their exam preparations. NCERT has published these books in English as well as in Hindi. The Social Science textbook for Class 6 is prepared by a panel of subject-matter experts according to the syllabus prescribed by the CBSE Board.

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NCERT Book for Class 6 English

NCERT English Textbook of Class 6 covers all topics as prescribed in the syllabus of Class 6 English. The textbook of English helps in improving skills in the English language. These books are designed by subject-matter experts by referring to the prescribed English syllabus. Moreover, the textbook of English is very interactive and fun-filled.

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Importance of NCERT Class 6 Textbook

NCERT Class 6 Textbooks help in building a strong foundation for the higher classes. These textbooks are followed by all the affiliated schools of CBSE . The concepts covered in the NCERT Class 6 textbooks play a very important role in developing young minds by guiding them in the right direction of knowledge. Thus, NCERT textbooks are the best option for students studying in Class 6.

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Class 6 Mathematics Assignments
Class 6 Assignments. We have provided below free printable Class 6 Mathematics Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 6 Mathematics. These Assignments for Grade 6 Mathematics cover all important topics which can come in your standard 6 tests and examinations.
NCERT Solutions for Class 6 Maths Updated for 2023-24
NCERT Solutions for Class 6 Maths Updated for 2023-24
NCERT Solutions for Class 6 Maths
NCERT Solutions for Class 6 Maths
NCERT Solution for Class 6 Maths
Chapter 6 Integers. Chapter 6 of Class 6th Maths will give you an idea of negative numbers, representation of integers on a number line, addition, and subtraction of integers using a number line, ordering of integers, etc. There are 3 exercises in this chapter to cover these topics. Integers Class 6 Ex 6.1. Integers Class 6 Ex 6.2.
NCERT Solutions for Class 6 Maths 2024-25
The Class 6 Maths Solutions contains solutions to exercises concerning algebraic concepts such as variables, equations, matchstick patterns, etc. Algebra is essential for students willing to take up Maths in higher classes, and hence, the basic concepts of this chapter are very well enumerated in NCERT Solution for Class 6.
NCERT Solutions For class 6 maths all exercises
NCERT Solutions Class 6 Maths Chapter-wise List. Chapter 1 - Knowing Our Numbers. Chapter 2 - Whole Numbers. Chapter 3 - Playing with Numbers. Chapter 4 - Basic Geometrical Ideas. Chapter 5 - Understanding Elementary Shapes. Chapter 6 - Integers. Chapter 7 - Fractions. Chapter 8 - Decimals.
NCERT Solutions For Class 6 Maths
CBSE Class 6 Maths Solutions - List of Chapters. Chapter 1 Knowing Our Numbers. Chapter 2 Whole Numbers. Chapter 3 Playing With Numbers. Chapter 4 Basic Geometrical Ideas. Chapter 5 Understanding Elementary Shapes. Chapter 6 Integers. Chapter 7 Fractions. Chapter 8 Decimals.
NCERT Books for Class 6 Maths PDF Download
NCERT Textbooks for 6th Class Maths. Chapter 1: Knowing Our Numbers. NCERT Solutions for class 6 Maths. Chapter 2: Whole Numbers. Chapter 3: Playing With Numbers. Chapter 4: Basic Geometrical Ideas. Chapter 5: Understanding Elementary Shapes. Chapter 6: Integers. Chapter 7: Fractions.
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NCERT Solutions for Class 6 Maths Chapter 1
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Select some topics/skills to continue. Class 6 maths practice, questions, tests, teacher assignments, teacher worksheets, printable worksheets, and other activities for NCERT (CBSE and ICSE), IMO, Olympiad, SAT Subject Test: Math Level 1, Navodaya Vidyalaya, Kangaroo, SASMO, and SEAMO.
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Assignments for Class 6 Mathematics have been developed for Standard 6 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 6 Mathematics from our website as we have provided all topic wise assignments free in PDF ...
NCERT Solutions for Class 6 Maths Chapter 1: Knowing Our Numbers
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Class 6 Assignments Download Pdf free with Answers
Our expert faculty members have covered Class 6 questions and answers for all subjects as per the latest curriculum for the current academic year. All practice test papers and question banks for Class 6 subjects and CBSE Assignments for Class 6 will be really useful for students to properly prepare for the upcoming exams. Class 6th students are ...
NCERT Solutions for Class 6 Maths
Go through the pdf quick links provided below and download chapter-wise NCERT 6th Class Maths Solutions Pdf for free. Get them offline and start preparing all questions & answer well in the annual exams. All these solutions are written by our subject experts as per the CBSE syllabus and guidelines. So, download & aid your maths exam preparation.
Number Play NCERT Solutions
Document Description: NCERT Solutions: Number Play for Class 6 2024 is part of Mathematics (Maths) Class 6 preparation. The notes and questions for NCERT Solutions: Number Play have been prepared according to the Class 6 exam syllabus. Information about NCERT Solutions: Number Play covers topics like Page 56, Page 57, Page 58, Page 59, Page 60, Page 64, Page 65, Page 66, Page 67, Page 69, Page ...
Class 6 Maths Ganita Prakash Chapter 1 Patterns in Mathematics
NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Patterns in Mathematics. Updated by Tiwari Academy on September 5, 2024, 11:24 AM. NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Patterns in Mathematics in Hindi and English Medium updated for academic session 2024-25. Get here simplified solutions of Class 6 Maths textbook ...
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NCERT Curiosity Class 6 Science Worksheets with Answers
Class 6 Science Worksheets. Don't miss out on these valuable resources! Download our free Class 6 Science curiosity Worksheets today and unlock a world of fascinating discoveries. Use our worksheets alongside NCERT Solutions for Class 6 Science to enhance your child's understanding and performance. Also download: Class 6 Hindi Worksheet ...
NCERT Solutions for Class 6 Maths Chapter 10: Mensuration
Class 6 Chapter 10 Mensuration Solutions are prepared by our expert teachers as per the CBSE syllabus to develop a strong conceptual base for students. These solved questions will help students to resolve their difficulties while solving the Mensuration problems present in the NCERT textbook and also while solving sample papers and previous years' question papers.
NCERT Books for Class 6 PDF of All Subjects
NCERT Books for Class 6 PDF of All Subjects

NCERT Solutions For Class 6 Maths

CBSE Class 6 Maths Solutions – List of Chapters

NCERT Textbook Solutions For Class 6 Maths – All Exercises

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers

NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shape

NCERT Solutions for Class 6 Maths Chapter 6 Integers

Class 6 Maths NCERT Solutions Chapter 7 Fractions

Class 6 Maths NCERT Solutions Chapter 8 Decimals

Class 6 Maths NCERT Solutions Chapter 9 Data Handling

Class 6 Maths NCERT Solutions Chapter 10 Mensuration

Class 6 Maths NCERT Solutions Chapter 11 Algebra

Class 6 Maths NCERT Solutions Chapter 12 Ratio and Proportion

Class 6 Maths NCERT Solutions Chapter 13 Symmetry

Class 6 Maths NCERT Solutions Chapter 14 Practical Geometry

NCERT Solutions Class 6 Maths & Topic All Chapters

Class 6 Maths Chapter 1 Knowing Our Numbers

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Class 6 Maths Chapter 3 Playing With Numbers

Class 6 Maths Chapter 4 Basic Geometrical Ideas

Class 6 Maths Chapter 5 Understanding Elementary Shapes

Class 6 Maths Chapter 6 Integers

Class 6 Maths Chapter 7 Fractions

Class 6 Maths Chapter 8 Decimals

Class 6 Maths Chapter 9 Data Handling

Class 6 Maths Chapter 10 Mensuration

Class 6 Maths Chapter 11 Algebra

Class 6 Maths Chapter 12 Ratio and Proportion

Class 6 Maths Chapter 13 Ratio and Proportion

Class 6 Maths Chapter 14 Practical Geometry

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